Published January 16, 1995
| Version v1
Journal article
On bosonization of 2d conformal field theories
Creators
- 1. Humboldt-Universitaet, Berlin (Germany). Inst. fuer Physik
- 2. Landau Inst. for Theoretical Physics, Moscow (Russian Federation)
Description
We show how bosonic (free field) representations for so-called degenerate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks are proposed. As an example, we describe new modules for the SL(2) Wess-Zumino-Witten model. They are, in fact, the simplest nontrivial modules in a full set of bosonized highest weight representations of the sl2 algebra. The Verma and Wakimoto modules appear as boundary modules of this set. Our construction also yields a new kind of bosonization in 2d conformal field theories. ((orig.))
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 433
- Journal Issue
- 3
- Journal Page Range
- p. 685-711.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 26038689
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; ALGEBRAIC FIELD THEORY; ANNIHILATION OPERATORS; BOSON EXPANSION; BOSONS; CONFORMAL INVARIANCE; CREATION OPERATORS; EIGENSTATES; FIELD ALGEBRA; FIELD OPERATORS; FOCK REPRESENTATION; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; LAGRANGIAN FIELD THEORY; NONLINEAR PROBLEMS; OPERATOR PRODUCT EXPANSION; PARTICLE MULTIPLETS; SCALAR FIELDS; SIGMA MODEL; SINGULARITY; SL GROUPS; TWO-DIMENSIONAL CALCULATIONS; VACUUM STATES; VECTORS
- Descriptors DEC
- AXIOMATIC FIELD THEORY; BANACH SPACE; BOSON-EXCHANGE MODELS; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MULTIPLETS; PARTICLE MODELS; PERIPHERAL MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SERIES EXPANSION; SPACE; SYMMETRY GROUPS; TENSORS